On transformations of singular quadratic functionals corresponding to equation ( p y ' ) ' + q y = 0

Zuzana Došlá; Ondřej Došlý

Archivum Mathematicum (1988)

  • Volume: 024, Issue: 2, page 75-81
  • ISSN: 0044-8753

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Došlá, Zuzana, and Došlý, Ondřej. "On transformations of singular quadratic functionals corresponding to equation $(py^{\prime })^{\prime }+qy=0$." Archivum Mathematicum 024.2 (1988): 75-81. <http://eudml.org/doc/18235>.

@article{Došlá1988,
author = {Došlá, Zuzana, Došlý, Ondřej},
journal = {Archivum Mathematicum},
keywords = {singular quadratic functionals},
language = {eng},
number = {2},
pages = {75-81},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On transformations of singular quadratic functionals corresponding to equation $(py^\{\prime \})^\{\prime \}+qy=0$},
url = {http://eudml.org/doc/18235},
volume = {024},
year = {1988},
}

TY - JOUR
AU - Došlá, Zuzana
AU - Došlý, Ondřej
TI - On transformations of singular quadratic functionals corresponding to equation $(py^{\prime })^{\prime }+qy=0$
JO - Archivum Mathematicum
PY - 1988
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 024
IS - 2
SP - 75
EP - 81
LA - eng
KW - singular quadratic functionals
UR - http://eudml.org/doc/18235
ER -

References

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  1. O. Borůvka, Lineare Differentialtransformationen 2. Ordnung, VEB Deutscher Verlag der Wissenschaften, Berlin 1967. (1967) MR0236448
  2. V. Kaňovský, Global transformations of linear differential equations and quadratic functionals I, Arch. Math. 19 (1983), 161-171. (1983) MR0725199
  3. V. Kaňovský, Global transformations of linear differential equations and quadratic functionals II, Arch. Math. 20 (1984), 149-156. (1984) MR0784866
  4. J. Krbila, Použitie transformácie diferenciálnych rovníc na kvadratické funkcionály, Sborník prací VŠD a VÚD, 15 (1968), 5-10. (1968) 
  5. J. Krbila, Vyšetrovanie kvadratických funkcionál pomocou transformácie lineárnych diferenciálnych rovníc druhého radu, Sborník prací VŠD a VÚD, 44 (1971), 5-17. (1971) 
  6. W. Leighton M. Morse, Singular quadratic functionals, Trans. Amer. Math. Soc. 40 (1936), 252-886. (1936) MR1501873
  7. W. Leighton, Principal quadratic functionals, Trans. Amer. Math. Soc. 68 (1949), 253-274. (1949) Zbl0041.22404MR0034535
  8. W. Leighton A. D. Martin, Quadratic functionals with a singular end point, Trans. Amer. Math. Soc., 78 (1955), 98-128. (1955) MR0066570

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